{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:VMWTQJFMINBMIULMM7BY3BYPID","short_pith_number":"pith:VMWTQJFM","canonical_record":{"source":{"id":"1403.5484","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2014-03-21T15:03:33Z","cross_cats_sorted":[],"title_canon_sha256":"d8efe827b3ee8dabe3cd9e0af36e98d2aad99d485daa553a5db24d932339af76","abstract_canon_sha256":"b98c863672bbfb9aa6dbdff399291dd540f3ec6b2d998d902d9620f61df5b0a2"},"schema_version":"1.0"},"canonical_sha256":"ab2d3824ac4342c4516c67c38d870f40c2a6d1c9c33cc7622bade98d76746bf3","source":{"kind":"arxiv","id":"1403.5484","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1403.5484","created_at":"2026-05-18T01:43:52Z"},{"alias_kind":"arxiv_version","alias_value":"1403.5484v1","created_at":"2026-05-18T01:43:52Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1403.5484","created_at":"2026-05-18T01:43:52Z"},{"alias_kind":"pith_short_12","alias_value":"VMWTQJFMINBM","created_at":"2026-05-18T12:28:54Z"},{"alias_kind":"pith_short_16","alias_value":"VMWTQJFMINBMIULM","created_at":"2026-05-18T12:28:54Z"},{"alias_kind":"pith_short_8","alias_value":"VMWTQJFM","created_at":"2026-05-18T12:28:54Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:VMWTQJFMINBMIULMM7BY3BYPID","target":"record","payload":{"canonical_record":{"source":{"id":"1403.5484","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2014-03-21T15:03:33Z","cross_cats_sorted":[],"title_canon_sha256":"d8efe827b3ee8dabe3cd9e0af36e98d2aad99d485daa553a5db24d932339af76","abstract_canon_sha256":"b98c863672bbfb9aa6dbdff399291dd540f3ec6b2d998d902d9620f61df5b0a2"},"schema_version":"1.0"},"canonical_sha256":"ab2d3824ac4342c4516c67c38d870f40c2a6d1c9c33cc7622bade98d76746bf3","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:43:52.568019Z","signature_b64":"QAfh3XJuBJ9jHLLPjRJxsdg3UuP/SGijkYj7A8Cfm+L5sOfMQec6juIGocJP6RM5MUle9MpG1dlIvuW7vTgSBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ab2d3824ac4342c4516c67c38d870f40c2a6d1c9c33cc7622bade98d76746bf3","last_reissued_at":"2026-05-18T01:43:52.567443Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:43:52.567443Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1403.5484","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:43:52Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"avasFk+14RRvCWTQY9NZdyfovFEkRx46NmQ/A3KHrSKwoOSb0CwUE/Pc4l8j8VBomuFJWkK+Kv5hfhxzTRqqBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-04T23:30:31.448483Z"},"content_sha256":"f95de0f16440447082c5019fa114db543261112b0ed8521d5014e6a17fb30dab","schema_version":"1.0","event_id":"sha256:f95de0f16440447082c5019fa114db543261112b0ed8521d5014e6a17fb30dab"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:VMWTQJFMINBMIULMM7BY3BYPID","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A Simple Family of Analytical Trumpet Slices of the Schwarzschild Spacetime","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"Kenneth A. Dennison, Thomas W. Baumgarte","submitted_at":"2014-03-21T15:03:33Z","abstract_excerpt":"We describe a simple family of analytical coordinate systems for the Schwarzschild spacetime. The coordinates penetrate the horizon smoothly and are spatially isotropic. Spatial slices of constant coordinate time $t$ feature a trumpet geometry with an asymptotically cylindrical end inside the horizon at a prescribed areal radius $R_0$ (with $0<R_{0}\\leq M$) that serves as the free parameter for the family. The slices also have an asymptotically flat end at spatial infinity. In the limit $R_{0}=0$ the spatial slices lose their trumpet geometry and become flat -- in this limit, our coordinates r"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1403.5484","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:43:52Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"msd9QzNd6kLT7DhDOptL6nGhr4EYns5BOQybM81mhyvS2P1v6K7+nVpqLKdTBOrKySV5ozQHq9zufucNIcItBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-04T23:30:31.449067Z"},"content_sha256":"a9a40c41735ac6db6f8c32ac21d4b88ff9cf731d98c991e7a0a2b7af4e744b0f","schema_version":"1.0","event_id":"sha256:a9a40c41735ac6db6f8c32ac21d4b88ff9cf731d98c991e7a0a2b7af4e744b0f"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/VMWTQJFMINBMIULMM7BY3BYPID/bundle.json","state_url":"https://pith.science/pith/VMWTQJFMINBMIULMM7BY3BYPID/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/VMWTQJFMINBMIULMM7BY3BYPID/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-06-04T23:30:31Z","links":{"resolver":"https://pith.science/pith/VMWTQJFMINBMIULMM7BY3BYPID","bundle":"https://pith.science/pith/VMWTQJFMINBMIULMM7BY3BYPID/bundle.json","state":"https://pith.science/pith/VMWTQJFMINBMIULMM7BY3BYPID/state.json","well_known_bundle":"https://pith.science/.well-known/pith/VMWTQJFMINBMIULMM7BY3BYPID/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:VMWTQJFMINBMIULMM7BY3BYPID","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"b98c863672bbfb9aa6dbdff399291dd540f3ec6b2d998d902d9620f61df5b0a2","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2014-03-21T15:03:33Z","title_canon_sha256":"d8efe827b3ee8dabe3cd9e0af36e98d2aad99d485daa553a5db24d932339af76"},"schema_version":"1.0","source":{"id":"1403.5484","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1403.5484","created_at":"2026-05-18T01:43:52Z"},{"alias_kind":"arxiv_version","alias_value":"1403.5484v1","created_at":"2026-05-18T01:43:52Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1403.5484","created_at":"2026-05-18T01:43:52Z"},{"alias_kind":"pith_short_12","alias_value":"VMWTQJFMINBM","created_at":"2026-05-18T12:28:54Z"},{"alias_kind":"pith_short_16","alias_value":"VMWTQJFMINBMIULM","created_at":"2026-05-18T12:28:54Z"},{"alias_kind":"pith_short_8","alias_value":"VMWTQJFM","created_at":"2026-05-18T12:28:54Z"}],"graph_snapshots":[{"event_id":"sha256:a9a40c41735ac6db6f8c32ac21d4b88ff9cf731d98c991e7a0a2b7af4e744b0f","target":"graph","created_at":"2026-05-18T01:43:52Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"We describe a simple family of analytical coordinate systems for the Schwarzschild spacetime. The coordinates penetrate the horizon smoothly and are spatially isotropic. Spatial slices of constant coordinate time $t$ feature a trumpet geometry with an asymptotically cylindrical end inside the horizon at a prescribed areal radius $R_0$ (with $0<R_{0}\\leq M$) that serves as the free parameter for the family. The slices also have an asymptotically flat end at spatial infinity. In the limit $R_{0}=0$ the spatial slices lose their trumpet geometry and become flat -- in this limit, our coordinates r","authors_text":"Kenneth A. Dennison, Thomas W. Baumgarte","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2014-03-21T15:03:33Z","title":"A Simple Family of Analytical Trumpet Slices of the Schwarzschild Spacetime"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1403.5484","kind":"arxiv","version":1},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:f95de0f16440447082c5019fa114db543261112b0ed8521d5014e6a17fb30dab","target":"record","created_at":"2026-05-18T01:43:52Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"b98c863672bbfb9aa6dbdff399291dd540f3ec6b2d998d902d9620f61df5b0a2","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2014-03-21T15:03:33Z","title_canon_sha256":"d8efe827b3ee8dabe3cd9e0af36e98d2aad99d485daa553a5db24d932339af76"},"schema_version":"1.0","source":{"id":"1403.5484","kind":"arxiv","version":1}},"canonical_sha256":"ab2d3824ac4342c4516c67c38d870f40c2a6d1c9c33cc7622bade98d76746bf3","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ab2d3824ac4342c4516c67c38d870f40c2a6d1c9c33cc7622bade98d76746bf3","first_computed_at":"2026-05-18T01:43:52.567443Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:43:52.567443Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"QAfh3XJuBJ9jHLLPjRJxsdg3UuP/SGijkYj7A8Cfm+L5sOfMQec6juIGocJP6RM5MUle9MpG1dlIvuW7vTgSBw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:43:52.568019Z","signed_message":"canonical_sha256_bytes"},"source_id":"1403.5484","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f95de0f16440447082c5019fa114db543261112b0ed8521d5014e6a17fb30dab","sha256:a9a40c41735ac6db6f8c32ac21d4b88ff9cf731d98c991e7a0a2b7af4e744b0f"],"state_sha256":"c6efb813841144988797d83be4ad5e17f3c6e810c36d8ff8c542670c4a5be2af"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Mv/mLxYVhC/SYz9zFSU5smXsLkvW7wLHeaB1g0bGnycM6OhxbM4T8zl+S+XS1LkPkdUNIMhwQLMXsOhjQVBMAA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-04T23:30:31.452368Z","bundle_sha256":"c6a1f8d70456cac53ed26585fa446c41cebc108591a3f3bc260a8d310d9a7afc"}}